Answer:
A. x = 1/2
General Formulas and Concepts:
<u>Pre-Algebra</u>
<u>Algebra I</u>
- Terms/Coefficients
- Factoring
- Standard Form: ax² + bx + c = 0
- Solving quadratics
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
4x² + 3 = 4x + 2
<u>Step 2: Solve for </u><em><u>x</u></em>
- [Equality Property] Rewrite in standard form: 4x² - 4x + 1 = 0
- Factor: (2x - 1)² = 0
- Solve: x = 1/2
Answer:
The largest monthly payment he can afford for the T.V set in order to be kept within a safe load of 20% is $156
Explanation:
Before we calculate, let us extract the key information from this question:-
*** David's monthly net income is $1,360
*** David pays a monthly rent of $450
*** He is paying off a student loan which costs him $116 per month.
*** He intends purchasing a new T.v set
*** We are simply required to determine the largest monthly payment that David can afford for the T.v set in order for him to be kept within a safe load of 20%.
In order to calculate the largest monthly payment that he can afford for the T.v set so as to be kept within a safe load of 20%, we will need to determine the actual amount that is twenty percent of his net income. If his net income is $1,360 then twenty percent of it is:
20/100 × 1360
= 27200/100
= $272
All we need to do now to find the largest monthly payment he can afford for the TV set is to subtract the student loan that he is paying off monthly ($116) from twenty percent of his net income ($272). That is:-
$272 - $116 = $156
Therefore the largest monthly payment that David can afford for the television set in order for his credit card payments and student loan to keep him within a safe debt load of 20% is $156.
Answer:
We should expect 25 generated digits in order to get a fifth "4"
Step-by-step explanation:
For each generated digit, there are only two possible outcomes. Either it is a four, or it is not. The probability of a digit being a 4 is independent of other digits. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
The expetcted number of trials to get r sucesses, with p probability, is given by:
Assume that the calculator will generate a "4" on any given attempt with probability 0.20.
This means that 
How many total generated digits should we expect in order to get a fifth "4"
This is E when r = 5. So
We should expect 25 generated digits in order to get a fifth "4"
Answer:
C
Step-by-step explanation:
The original price p is reduced by 3000 to obtain the new price
